GMRES算法在悬停旋翼数值模拟中的应用  

Application of GMRES algorithm to hovering rotor simulation

作　　者：罗东明[1,2] 陈平剑[2] 吴希明[2] 

机构地区：[1]南京航空航天大学飞行器先进设计技术国防重点学科实验室,江苏南京210016 [2]中国直升机设计研究所,江西景德镇333001

出　　处：《空气动力学学报》2012年第4期471-476,共6页Acta Aerodynamica Sinica

摘　　要：发展了一种基于广义极小残差(GMRES)算法的悬停旋翼数值模拟方法,并对GMRES算法中矩阵与向量乘积的两种计算方法进行了分析和讨论。应用该方法在旋转坐标系中采用非结构混合网格和格点格式有限体积法对以绝对速度为变量的欧拉方程进行了直接求解,其中对流项的离散应用了基于Roe的Riemann近似解的迎风格式。对Caradonna-Tung旋翼跨声速悬停流场进行了数值模拟,计算结果与相关实验数据吻合较好,并与LU-SGS方法进行了对比,表明GMRES算法可以有效地加速流场的收敛,提高计算效率。A GMRES algorithm for hovering rotor simulation is presented. Two calculation methods of matrix-vector product in this algorithm are discussed. The Euler equations with absolute variables on rotating coordinates are directly solved by this way. The flow solver utilizes unstructured mixed grid and cell-vertex finite-volume scheme based on the Upwind Roe＇s approximate Riemann solver. Using this method a transonic hovering flow fields of Caradonna-Tung rotor are simulated . The computed results show good agreement with experimental results. The efficiency of the GMRES algorithm and LU-SGS algorithm is compared. The comparing results show that the GMRES algorithm can remarkably speed up the convergence rate of the rotor flow.

关 键 词：广义极小残差算法 悬停旋翼 EULER方程 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]